Dilaton Interactions in QCD and in the Electroweak Sector of the Standard Model

TL;DR

This paper reviews the effective action involving a dilaton and Higgs in the Standard Model, focusing on the role of the dilatation current and its interpretation as a Nambu-Goldstone mode from broken dilatation symmetry.

Contribution

It provides a recent computation of the effective action in the neutral currents sector and discusses the dilatation current's role as a Nambu-Goldstone mode.

Findings

Effective action involving dilaton and Higgs analyzed.

Dilatation current acts as a Nambu-Goldstone mode.

Implications for anomalous breaking of dilatation symmetry.

Abstract

We overview the structure of the effective action involving a dilaton and a Higgs in the Standard Model, which has been computed recently for the neutral currents sector. We discuss the role of the dilatation current ($J_D$) and of an effective degree of freedom appearing in the $J_D V V'$ correlator, with $V$ any neutral current, which can be interpreted as a Nambu-Goldstone mode generated by the anomalous breaking of the dilatation symmetry.